1352375664640 has 1632 divisors, whose sum is σ = 4819721840640. Its totient is φ = 356725555200.

The previous prime is 1352375664599. The next prime is 1352375664677. The reversal of 1352375664640 is 464665732531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43625021425 + ... + 43625021455.

Almost surely, 2^{1352375664640} is an apocalyptic number.

1352375664640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1352375664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409860920320).

1352375664640 is an abundant number, since it is smaller than the sum of its proper divisors (3467346176000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1352375664640 is a wasteful number, since it uses less digits than its factorization.

1352375664640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 52.

The spelling of 1352375664640 in words is "one trillion, three hundred fifty-two billion, three hundred seventy-five million, six hundred sixty-four thousand, six hundred forty".